To represent 64 characters, you would need 6 bits. This is because 2^6 equals 64, meaning six bits can encode 64 different values, sufficient for each character. Each bit can represent two states (0 or 1), and with six bits, you can create combinations to represent all 64 characters.
The number of bits needed to represent one symbol depends on the total number of unique symbols. The formula to calculate the number of bits required is ( n = \lceil \log_2(S) \rceil ), where ( S ) is the number of unique symbols. For example, to represent 256 unique symbols, 8 bits are needed, since ( \log_2(256) = 8 ).
A standard deck of playing cards has 52 cards. To determine how many bits are needed to represent each card, we can use the formula ( \lceil \log_2(52) \rceil ). Since ( \log_2(52) ) is approximately 5.7, we round up to 6 bits. Therefore, 6 bits are needed to uniquely represent each card in a standard deck.
5
log2 200 = ln 200 ÷ ln 2 = 7.6... → need 8 bits. If a signed number is being stored, then 9 bits would be needed as one would be needed to indicate the sign of the number.
To determine the minimum number of bits needed to represent 6 distinct items, we can use the formula (2^n \geq k), where (n) is the number of bits and (k) is the number of items. For 6 items, the smallest (n) that satisfies this condition is 3, since (2^3 = 8) which is greater than 6. Therefore, a minimum of 3 bits is needed to represent 6 distinct things.
45 in binary is 101101, so you need at least 6 bits to represent 45 characters.
8 bits if unsigned, 9 bits if signed
how many bits are needed to represent decimal values ranging from 0 to 12,500?
The number of bits needed to represent one symbol depends on the total number of unique symbols. The formula to calculate the number of bits required is ( n = \lceil \log_2(S) \rceil ), where ( S ) is the number of unique symbols. For example, to represent 256 unique symbols, 8 bits are needed, since ( \log_2(256) = 8 ).
To represent -5 in binary using two's complement, you first need to determine how many bits are required for the positive equivalent, which is 5. In binary, 5 is represented as 101. To accommodate the negative sign, you typically use at least 8 bits for clarity, which would represent -5 as 11111011 in two's complement. Therefore, at least 8 bits are needed to represent -5 in this format.
A standard deck of playing cards has 52 cards. To determine how many bits are needed to represent each card, we can use the formula ( \lceil \log_2(52) \rceil ). Since ( \log_2(52) ) is approximately 5.7, we round up to 6 bits. Therefore, 6 bits are needed to uniquely represent each card in a standard deck.
5
log2 200 = ln 200 ÷ ln 2 = 7.6... → need 8 bits. If a signed number is being stored, then 9 bits would be needed as one would be needed to indicate the sign of the number.
To determine the minimum number of bits needed to represent 6 distinct items, we can use the formula (2^n \geq k), where (n) is the number of bits and (k) is the number of items. For 6 items, the smallest (n) that satisfies this condition is 3, since (2^3 = 8) which is greater than 6. Therefore, a minimum of 3 bits is needed to represent 6 distinct things.
23 can be represented in binary as 10111 and would therefore require 5 bits to represent.
1200
18 in binary is 10010 Since 18 can't be written in term of 2 to the power x, the number of bits needed is 5. The answer is 5