1. 选择正确答案的序号填在括号里。
(1)下面的(
A. 12
B. 101
C. 210
(2)二进制数$(100)_2$对应的十进制数是(
A. 2
B. 4
C. 8
(3)五进制数$(100)_5$对应的十进制数是(
A. 25
B. 10
C. 5
(1)下面的(
B
)可能是二进制数。A. 12
B. 101
C. 210
(2)二进制数$(100)_2$对应的十进制数是(
B
)。A. 2
B. 4
C. 8
(3)五进制数$(100)_5$对应的十进制数是(
A
)。A. 25
B. 10
C. 5
答案
(1) B (2) B (3) A
2. 把下面的十进制数改写成二进制数。
(7)₁₀
=(4)₁₀+(2)₁₀+(1)₁₀
=(100)₂+(10)₂+(1)₂
=()₂
(14)₁₀
=(8)₁₀+(4)₁₀+(2)₁₀
=(1000)₂+(100)₂+(10)₂
=()₂
(7)₁₀
=(4)₁₀+(2)₁₀+(1)₁₀
=(100)₂+(10)₂+(1)₂
=()₂
(14)₁₀
=(8)₁₀+(4)₁₀+(2)₁₀
=(1000)₂+(100)₂+(10)₂
=()₂
答案
$(7)_{10}$
$=(4)_{10}+(2)_{10}+(1)_{10}$
$=(100)_{2}+(10)_{2}+(1)_{2}$
$=(\boldsymbol{111})_{2}$
$(14)_{10}$
$=(8)_{10}+(4)_{10}+(2)_{10}$
$=(1000)_{2}+(100)_{2}+(10)_{2}$
$=(\boldsymbol{1110})_{2}$
$=(4)_{10}+(2)_{10}+(1)_{10}$
$=(100)_{2}+(10)_{2}+(1)_{2}$
$=(\boldsymbol{111})_{2}$
$(14)_{10}$
$=(8)_{10}+(4)_{10}+(2)_{10}$
$=(1000)_{2}+(100)_{2}+(10)_{2}$
$=(\boldsymbol{1110})_{2}$
3. 把下面的二进制数改写成十进制数。
(1101)₂
=(1000)₂+(100)₂+(1)₂
=()₁₀+()₁₀+(1)₁₀
=()₁₀
(11001)₂
=(10000)₂+(1000)₂+(1)₂
=()₁₀+()₁₀+()₁₀
=()₁₀
(1101)₂
=(1000)₂+(100)₂+(1)₂
=()₁₀+()₁₀+(1)₁₀
=()₁₀
(11001)₂
=(10000)₂+(1000)₂+(1)₂
=()₁₀+()₁₀+()₁₀
=()₁₀
答案
(1101)₂
=(1000)₂+(100)₂+(1)₂
=(8)₁₀+(4)₁₀+(1)₁₀
=(13)₁₀
(11001)₂
=(10000)₂+(1000)₂+(1)₂
=(16)₁₀+(8)₁₀+(1)₁₀
=(25)₁₀
=(1000)₂+(100)₂+(1)₂
=(8)₁₀+(4)₁₀+(1)₁₀
=(13)₁₀
(11001)₂
=(10000)₂+(1000)₂+(1)₂
=(16)₁₀+(8)₁₀+(1)₁₀
=(25)₁₀
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