math problems

用戶3618

2007-07-18 12:31 am

1(a) Convert the hexadecimal number 13D into a decimal number.
(b) Convert the binary number 1010 into a decimal number.
(c) Evaluate each of the following expressions.
log(binary)(13D hexadecimal + 3decimal) - log(binary)1010(binary)

log(binary)800(hexadecimal)

回答 (1)

用戶34881

2007-07-18 12:53 am

✔ 最佳答案

1(a) Convert the hexadecimal number 13D into a decimal number.
13D(16)
= 1x256 + 3x16 + 13
= 317

(b) Convert the binary number 1010 into a decimal number.
1x8 + 0x4 + 1x2 + 0
= 10

(c) Evaluate each of the following expressions.
log(binary)(13D hexadecimal + 3decimal) - log(binary)1010(binary)
= log(binary)(140 hexadecimal) - log(binary)1010(binary)
= log(binary)(320 decimal) - log(binary)10(decimal)
= log(binary)(320 decimal /10(decimal)
= log(binary)(32 decimal)
= log(binary)(100000 binary)
= 5

log(binary)800(hexadecimal)
= log(binary)1000 0000 0000(binary)
= 11

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