1
数字逻辑课后习题答案
习题一
1.1
把下列不同进制数写成按权展开?/p>
:
?/p>
(4517.239)
10
= 4
×
10
3
+5
×
10
2
+1
×
10
1
+7
×
10
0
+2
×
10
-1
+3
×
10
-2
+9
×
10
-3
?/p>
(10110.0101)
2
=1
×
2
4
+0
×
2
3
+1
×
2
2
+1
×
2
1
+0
×
2
0
+0
×
2
-1
+1
×
2
-2
+0
×
2
-3
+1
×
2
-4
?/p>
(325.744)
8
=3
×
8
2
+2
×
8
1
+5
×
8
0
+7
×
8
-1
+4
×
8
-2
+4
×
8
-3
?/p>
(785.4AF)
16
=7
×
16
2
+8
×
16
1
+5
×
16
0
+4
×
16
-1
+A
×
16
-2
+F
×
16
-3
1.2
完成下列二进制表达式的运?/p>
:
1.3
将下列二进制数转换成十进制数、八进制数和十六进制数:
?/p>
(1110101)
2
=(165)
8
=(75)
16
=7
×
16+5=(117)
10
?/p>
(0.110101)
2
=(0.65)
8
=(0.D4)
16
=13
×
16
-1
+4
×
16
-2
=(0.828125)
10
?/p>
(10111.01)
2
=(27.2)
8
=(17.4)
16
=1
×
16+7+4
×
16
-1
=(23.25)
10
1.4
将下列十进制数转换成二进制数、八进制数和十六进制?/p>
,
精确到小数点?/p>
5
位:
?/p>
(29)
10
=(1D)
16
=(11101)
2
=(35)
8
?/p>
(0.207)
10
=(0.34FDF)
16
=(0.001101)
2
=(0.15176)
8
?/p>
(33.333)
10
=(21.553F7)
16
=(100001.010101)
2
=(41.25237)
8