Numbers

91011

Top Answer

Decimal numbers are in base 10 and binary numbers are in base 2. Let's take the number 135. This is equal to 100 + 30 + 5. Or 1 * 10^2 + 3 * 10^1 + 5 * 10^0. (the caret being the sign for exponent and any number greater than 0 to the exponent 0 equal 1 hence 10^0 = 1). In binary format, the base is two so the first basic number is 2^0 = 1, then 2^1 = 2, then 2^2 = 4 and so on, 8, 16, 32, 64...

to build a number like 135 in binary you may ask how many 2^8 = 256 can I fit in it? The answer is 0, then how many 2^7=128, the answer is 1. Having already allocated 128 in the number, there is only a value of 7 left to insert. That is to say that there won't be any 2^6, 2^5, 2^4, or 2^3 in it. Since 2^2 = 4 and that fits into the remaining 7 we put 1 of those. We do the same for 2^1=2 and 2^0=1 and we have the final value (0*2^8) + (1*2^7) + (0*2^6) + (0*2^5) + (0*2^4) + (0*2^3) + (1*2^2) + (1*2^1) + (1*2^0) or using only the coefficients: 010000111. Since the first zero is irrelevant, 135 in binary is 10000111!

Just use the Windows calculator, and set it to scientific mode, or use any scientific calculator that supports binary/decimal. In the Windows calculator, make sure you are in decimal, type in each of the four numbers, then select "Binary" to convert to binary. You will have to fill out some of the binary numbers with zeroes to the left (each one must have 8 binary digits).Just use the Windows calculator, and set it to scientific mode, or use any scientific calculator that supports binary/decimal. In the Windows calculator, make sure you are in decimal, type in each of the four numbers, then select "Binary" to convert to binary. You will have to fill out some of the binary numbers with zeroes to the left (each one must have 8 binary digits).Just use the Windows calculator, and set it to scientific mode, or use any scientific calculator that supports binary/decimal. In the Windows calculator, make sure you are in decimal, type in each of the four numbers, then select "Binary" to convert to binary. You will have to fill out some of the binary numbers with zeroes to the left (each one must have 8 binary digits).Just use the Windows calculator, and set it to scientific mode, or use any scientific calculator that supports binary/decimal. In the Windows calculator, make sure you are in decimal, type in each of the four numbers, then select "Binary" to convert to binary. You will have to fill out some of the binary numbers with zeroes to the left (each one must have 8 binary digits).

The word "understand" is a bit misleading here; computer's usually accept input as decimal, and show results as decimal numbers again. It is internally that they do most of their processing in binary, because they were so designed. And the reason they were so designed is because it is simpler to build computers that work with binary. For example, look at the multiplication table for binary numbers, and compare it to that for decimal numbers.

Binary numbers belong to Binary number system. Binary System consists of only 2 digits (known as bits) 0 & 1. Any no. from decimal number system can be converted to binary number system. Binary numbers are widely used in design of various digital gadgets & computers. Following are some decimal no.s converted into binary numbers. Decimal number Binary number 0 0 1 1 2 10 3 11 4 100 5 101 6 110

To consider the difference between straight binary and BCD, the binary numbers need to be split up into 4 binary digits (bits) starting from the units. In 4 bits there are 16 possible values from 0000 to 1111 (0 to 15). In straight binary all of these possible combinations are used, thus: 4 bits can represent the decimal numbers 0-15 8 bits can represent the decimal numbers 0-255 12 bits can represent the decimal numbers 0-4095 16 bits can represent the decimal numbers 0-65535 etc In arithmetic, all combinations of bits are used, thus: 0000 1001 + 0001 = 0000 1010 In BCD or Binary Coded Decimal, only the representations of the decimal numbers 0-9 are used (that is 0000 to 1001 in binary), and the 4-bits (nybbles) are read as decimal digits, thus: 4 bits can represent the decimal digits 0-9 8 bits can represent the decimal digits 0-99 12 bits can represent the decimal digits 0-999 16 bits can represent the decimal digits 0-9999 In arithmetic, only the representations of decimal numbers are used, thus: 0000 1001 + 0001 = 0001 0000 When BCD is used each half of a byte is read directly as a decimal digit. BCD is obviously inefficient as storage (for large numbers) as each nybble is only holding 3/8 of the possible numbers, however, it is sometimes easier and quicker to work with decimal digits (for example when there is lots of display of counting numbers to do there is less binary to decimal conversion needing to be done).

Trending Questions

How many 3s in 313433535333?

Who would you swap lives with for a day?

Is it true that one human year is equal to seven dog years?

Which is the verb in this sentence - it is such a nice day?

A farmer has 19 sheep All but 7 die How many are left?

What is the answer to this India foxtrot Yankee Oscar uniform charlie alpha November uniform November delta echo romeo sierra tango alpha November delta tango hotel India sierra charlie Oscar papa yan?

The more you take the more you leave behind what am I?

What is ri poorch in a brain teaser?

Hottest Questions

Can eggs break inside a chicken?

Why do books come out in hardback first?

What happens when a beehive gets too full?

What is the difference between an optometrist and an ophthalmologist?

How can you tell when someone's lying?

Why do some people celebrate Christmas in July?

Why is it bad luck to walk under a ladder?

What is a conservatorship?

Previously Viewed

clearUnanswered Questions

What is time signature of ncr hymn?

Is Gianluca Ginoble gay?

Paano umusbong ang pagmamahal sa karunungan?

Why the eastern Terai is cooler than than western one OF NEPAL?

Who was giani maan singh jhaur?

Donnie and judy swaggart pictures?

What happened to Jeff Hewson of QVC fame?

Is the Montgomery Bus Boycott capitalized?

Copyright © 2020 Multiply Media, LLC. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.