1. (1) -127 ~-0 +0 ~ +127 or -127 ~ +127 (2) -127 ~-0 +0 ~ +127 or -127 ~ +127 (3) -128 ~ 0 ~ +127 or -128 ~ +127 秆叫把σ揭セ┪щ紇 2. (1) (01111111)2 = 127 秆 ☆sign-and-magnitude 材bitノㄓボタ璽腹 ★程计(01111111)2 = 127 程计 (11111111)2 = -127 (2) (01111111)2 = 127 秆 ☆one's compliment 材bitㄓだ快琌タ璽计 ★程计(01111111)2 = 127 (3) (01111111)2 = 127 秆 ☆two's compliment ョ材bitㄓだ快琌タ璽计 ★程计(01111111)2 = 127 (4) (11111111)2 = -127 (5) (10000000)2 = -127 秆 ☆one's compliment 絛瞅ざ -127 ~ +127 ★程-127盢(-127)10锣秈1干 Step 1. 璽腹籔计だ秨矪瞶 Step 2. 计场だ(127)10=(01111111)2 Step 3. 璽腹场だ盢(01111111)2暗1干(10000000)2 (6) (10000000)2 = -128 秆 ☆one's compliment 絛瞅ざ -128 ~ +127 ★程-128盢(-128)10锣秈1干 Step 1. 璽腹籔计だ秨矪瞶 Step 2. 计场だ(128)10=(10000000)2 Step 3. 璽腹场だ盢(10000000)2暗2干 (01111111)2+(00000001)2=(10000000)2 3. (1) 179 秆 ☆unsigned integerタ俱计 ★ 10110011 2^7*1 + 2^6*0 + 2^5*1 + 2^4*1 + 2^3*0 + 2^2*0 + 2^1*1 + 2^0*1 =128*1 + 64*0 + 32*1 + 16*1 + 8*0 + 4*0 + 2*1 + 1*1 =179 (2) -51 秆 ☆ㄓ秈玡材bitボタ璽腹┮材bit1计璽计 ★(0110011)2 =(2^6*0 + 2^5*1 + 2^4*1 + 2^3*0 + 2^2*0 + 2^1*1 + 2^0*1 )10 =( 64*0 + 32*1 + 16*1 + 8*0 + 4*0 + 2*1 + 1*1 )10= (51)10 眔计 (-51)10 (3) -76 秆 (10110011)2 1干计=(01001100)2 (01001100)2=(76)10 ☆ㄓ秈玡材bit1┮计璽计 ★眔1干计(-76)10 (4) -77 秆 (10110011)2 2干计(1干+1)=(01001100)2+(00000001)2=(01001101)2 (01001101)2=(77)10 ☆ㄓ秈玡材bit1┮计璽计 ★眔2干计(-77)10 (5) 52 秆 (10110011)2=179 ☆Excess_127搭诀 锣搭(127) 锣(127) ★锣眔179-127=52 4 x42A32000 or (42A32000)16 秆 Step 1. (81)10=(1010001)2 (0.5625)10=(0.1001)2 计场だて秈计场だ □眖ㄓ计秈计场だ .5625*2场计场だ. 1.1250■*21ぃ计. 0.250 ■*20 0.50 ■*20 1.0 ■ 1 挡狦眔 (0.1001)2 Step 2. タ砏てボ计翴オ簿せ眔挡狦 (1010001.1001)2=(1.0100011001*2^6)2 ☆IEEE standard floating-point  Single Precision 杠琌32bits. ★タ计Sign=0 Excell_127=>眖2^6ㄤΩよ66+127=133(133)10=(10000101)2 >Sign>+-Mantissa计笷23bits恶Ч计ㄤ緇干0 v vvvvvvvvvv (0 10000101 0100011001 0000000000000)2 ^^^^^^^^ Exponent计场だExcess_127(8bits)ボ. =(0100 0010 1010 0011 0010 0000 0000 0000)2 =( 4 2 A 3 2 0 0 0)16 -- Sincerely regards, Wen-Jen Oct. 20